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Finding the Fourth Proportional to 83,882.40, 125,830.56 and 36,499.08

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Solution

The fourth proportional to 83,882.40, 125,830.56 and 36,499.08 is: 54,751.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,882.40 : 125,830.56 = 36,499.08 : x
  2. Step 2: Convert to fraction form
    83,882.40/125,830.56 = 36,499.08/x
  3. Step 3: Cross multiply
    83,882.40x = 125,830.56 × 36,499.08
  4. Step 4: Simplify right side
    83,882.40x = 4,592,699,675.88
  5. Step 5: Solve for x
    x = 4,592,699,675.88/83,882.40
  6. Step 6: Final answer
    x = 54,751.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.